Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the estimated and actual products compare? (Hint: use 18 for the denominator when estimating.) The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate. The actual product is about StartFraction 1 over 18 EndFraction less than the estimate. The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate. The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.

The answer is about 1/18 less than the estimated answer.

Step-by-step explanation:

1. Find actual answer

a.

= ×

=

b. simplify

=

2. Find estimate answer

a. Solve

= ×

≈

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: